Simplify Square Root of 5728

Here we will show you step-by-step how to simplify the square root of 5728. The square root of 5728 can be written as follows:


	√	5728

The √ symbol is called the radical sign. To simplify the square root of 5728 means to get the simplest radical form of √5728.

Step 1: List Factors
List the factors of 5728 like so:

1, 2, 4, 8, 16, 32, 179, 358, 716, 1432, 2864, 5728

Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:

1, 4, 16

Step 3: Divide
Divide 5728 by the largest perfect square you found in the previous step:

5728 / 16 = 358

Step 4: Calculate
Calculate the square root of the largest perfect square:

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5728 in its simplest form:


4	√	358

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Decimal Form
Square Root of 5728 in Decimal form rounded to nearest 5 decimals:

75.68355

Exponent Form
Square Root of 5728 written with Exponent instead of Radical:

5728^½ = 4 x 358^½

Simplify Square Root of 5729
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* List of Perfect Squares